A researcher has a data set in which there are two variables with two or more levels.Which of the following might be addressed using a distribution-free test?
A)Whether the two variables are related.
B)Whether the central tendency of the two variables is different.
C)Whether the central tendency of the two variables is the same.
D)Both (a)and (b).
E)All of the above.

Question

Quizplus · Accepted Answer

Distribution-free (nonparametric) tests are useful when the data does not meet the assumptions of normality or homogeneity of variance required by parametric tests. They are often used to test whether two variables are related (a), or whether the central tendency (mean, median) of the two variables is different (b). However, they cannot test whether the central tendency of the two variables is the same (c) as this can be achieved through a parametric test like t-test or ANOVA.

A Researcher Has a Data Set in Which There Are